An illustration shows the outline of letter X. The length of each of the four legs is 7, and the width of each is 5.
What is the area of the polygon? Assume that segments that appear congruent are congruent.
(1 point)
Responses
76 square units
76 square units
140 square units
140 square units
165 square units
165 square units
190 square units
190 square units
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The area of the polygon can be calculated by adding the area of the two rectangles and subtracting the area of the square in the middle.
Area of each rectangle = length x width = 7 x 5 = 35 square units
Area of square in the middle = side x side = 5 x 5 = 25 square units
Total area = 2(35) - 25 = 70 - 25 = 45 square units
Therefore, the correct response is not listed. The area of the polygon is actually 45 square units.